This phase I trial studies the side effects of and best dose of tivantinib when given together with bevacizumab in treating patients with solid tumors that have spread to other areas of the body or cannot be removed by surgery. Tivantinib may stop the growth of tumor cells by blocking some of the enzymes needed for cell growth. Monoclonal antibodies, such as bevacizumab, may block tumor growth in different ways by targeting certain cells. Bevacizumab may also stop the growth of cancer by blocking blood flow to the tumor. Giving tivantinib together with bevacizumab may work better in treating tumor cells.